It is a toroidal loop with twelve 4th-order saddles.
The obvious orientation for SFF fabrication is to lay it flat on its side by turning it 90 degrees around the x-axis, thereby giving the part minimal height, and preserving its radial symmetry ideally.
The program that generated this part description, created it in 12 separate segments. Due to rounding errors, vertices at the junctions may be off by one unit in the least significant digit. In the .STL file describing this part, the vertices from different surfaces have not been merged (yet); so this requires slicing software that does not get upset when shared vertices appear separated by one unit in the last digit.
The compressed file can be downloaded from our anonymous FTP site with:
ftp ftp.cs.berkeley.edu
{login as "anonymous"; use your full e-mail address as password.}
Then change directory: cd ucb/projects/unigrafix/STL
Fetch desired files: get bigring.stl.gz
The bigring.stl.gz file can be uncompressed with gunzip.
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